The U.S. Air Force uses "10gs" (an acceleration equal to 10 x 9.8m/s²) as the maximum acceleration a human can withstand (but only tot several seconds) aid survive. How much time must the Enterprise spend accelerating if the humans on board are to experience an average at most 10gs of acceleration? (Assume the inertial dampeners are offline.)
Q: Einstein concluded that gravity is the warping of the geometry of space-time based on the presence…
A: Yes, according to Einstein's theory of general relativity, the gravitational field of massive…
Q: A Mars orbiter is orbiting Mars at 35,000 m above the Martian surface. What is its period in…
A: Height of Mars orbiter above the Martial surface: h = 35000 m Mass of Mars: Mm = 6.42 x 1023 kg…
Q: An object moves in a circle of radius R at a constant speed with a frequency of 4.9 rev/s. Its…
A: The acceleration of the object, a=8.5 m/s2 The angular speed, ω=4.9 rev/s
Q: Select the correct option. Physicist Robert H. Goddard of Clark University was the creator of the…
A: B) it would not receive momentum since it would not have a medium on which the gases interact This…
Q: 10.7. Suppose an object is dropped from a height h (h « Rp, where Rg is the radius of Earth). Show…
A:
Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…
A: Given:l = 5mv=-0.14 m/sh=1.8 m
Q: An E. coli bacterium can be modeled as a 0.50-μm-diameter sphere that has the density of water.…
A: The diameter of the bacterium is 0.5 μm The radius of this bacterium is thus, r=0.52=0.25…
Q: If a 3.9 kg object is placed on a frictionless incline of 55.6 ° and released from rest, what is…
A:
Q: Spaceship Malfunction. You and your team get a distress call from another ship indicating that there…
A:
Q: On Apollo Moon missions, the lunar module would blast off from the Moon's surface and dock with the…
A:
Q: 1. In 1896 in Waco, Texas, William Crush of the "Katy" railroad parked two locomotives at opposite…
A:
Q: An object with mass m = 34 kg is pushed with 452 N of force to be moved across a distance of 4.6 m…
A: Given data: The mass is m=34 kg The applied force is F=452 N The displacement is s=4.6 m The…
Q: A spring hangs vertically next to a ruler. The end of the spring is next to 15 cm mark on the…
A: Given Data: The mass of spring is, m=2.0 kg The spring constant is, k=51 N/m The expression for…
Q: A friend claims that her car can accelerate from a stop to 60 mi/h (26.8 m/s) in 7.5 s, but the…
A:
Q: A 4.5 kg mass is attached to a compressed spring and the spring is released. If the mass initially…
A:
Q: 2 kg block is launched up a frictionless inclined plane by a spring as shown in (Figure 1). The…
A:
Q: What is approximately the gravitational force of the sun on the planet mars? (RMs= 2.28 × 10ºkm, M,…
A: Given data: Distance between Sun and Mars (RMS) = 2.28×108 km Mass of Sun (Ms) = 1.99×1030 kg Mass…
Q: A spring of force constant k is compressed by a distance x from its equilibrium length. (a) Does…
A: Given: A spring of Force constant k is compressed by a distance x from it's equilibrium position.…
Q: At what altitude h above the north pole is the weight of an object reduced to 27% of its…
A:
Q: A spacecraft of mass m = 1.5-10³ kg travels in vacuum in the absence of a gravitational field and…
A:
Q: The rest energy E of an object with rest mass m is given by Einstein's famous equation E = mc²,…
A:
Q: rier with a mass of 9.38 kg to the bungie cord and let the dog drop. The cord is 100 m long when…
A: The spring constant k = 48.1 N/m You attach a somewhat nervous Boston Terrier with a mass of m =…
Q: Apollo Moon missions, the lunar module would blast off from the Moon's surface and dock with the…
A: Given:initial height, h' = 200 km = 200×103 m above the surface initial speed, u = 1650…
Q: A typical BMR is 8.02 ✕ 106 J/day Suppose a 1.00 kg object's gravitation potential energy is…
A: Given : BMR = 8.02 x 106 J/day Mass (m) = 1 kg Acceleration of gravity (g) = 9.80 m/s2
Q: An object of mass 8.6 kg moves along a flat surface and then up an incline with a steepness of…
A:
Q: Meagan is running an obstacle course. The tenth obstacle is called the "Spider Climb", where she…
A: Given data, Weight of Meagan = 125 Ib = 550 N Height of Meagan = 5'6" = 168 cm
Q: Juliet has been captured by Thugs and is being held in a castle surrounded by a 75.0 m wide moat…
A: Height (h) = 8 m Velocity (v) = 27 msθ = 38oHorizontal distance (d) = 75 m
Q: A mass m is suspended from a massless spring of natural length 90 cm with the spring constant k = 10…
A: Given k = 10 N/m xo = 90 cm (natural length of spring ) x = 6.8 cm = 0.068 m (extension in spring…
Q: After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 46.0…
A: Write the given values with the suitable variables. l=46 cm=0.46 mn=98t=145 s Here, l is the length,…
Q: A 2.75 kg ball is dropped straight down on a concrete floor and bounces straight up. At an instant…
A: Given Mass (m) = 2.75 kg Upward Acceleration (a) = 34.0 m/s2 Therefore , force exerted by the…
Q: The kinetic energy (T) of an object with mass m traveling at a speed v is defined as T =…
A:
Q: In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core…
A:
Q: A planet has a radius of 4.00 x 10^6 m, and rotates so rapidly that an object on the equator feels…
A: Given R=4.00 x 106 W = mg10
Q: A simple pendulum consists of a pendulum bob of mass M at the end of a "mass-less" string of length…
A: Given: The free-body diagram of the given system is:
Q: You are working part-time for the GT Sports Media Complex, editing video for the women’s softball…
A: An impulse is a large force acting on an object in a small interval of time. It is given by the…
Q: object is thrown upward with a speed of 17.7 m/s on the surface of planet X where the acceleration…
A: Initial velocity (u) = 17.7 m/s Acceleration due to gravity on planet X ( g )= 2.5 m/s2


Step by step
Solved in 2 steps

- An object of mass 7.6 kg moves along a flat surface and then up an incline with a steepness of 6.8∘∘. If the object is moving with a speed of 5.4 m⋅⋅s-1 along the flat surface, how fast is it moving (in m⋅⋅s-1) after it has travelled 2.3 m along the incline? Assume that the incline is frictionless, and ignore air resistance.I whirl John (mass 0.27 kg) over my head in a circle. There is a spring scale between my hand and the string, so I can measure the force of tension in the string, which I find to be 2.12 N. I measure the length of the string (the radius of the circle) and find it to be 1.34 m. Assuming that John's speed is not changing, how fast is he going?A.) i. Define the plane polar unit vectors ŕ and 0 and show that they are orthonormal. Determine dr dê and de de ii. Hence show that for the vector r(t) = r(t)ŕ dr · = rî +rðê, d²r and = - dt dt² († − rė²)ŕ + (2ŕė +rë)ê . iii. If a mass m moves in the plane along r(t) = a and (t) = 5t determine the shape of the motion and find its period. B) Show that the motion of an object under the universal gravitational force μη Fg is governed by the radial and angular equations of motion and μ = 0, 2r0+ rö = 0. Setting r(t) =R for some constant R, solve these equations of motion and determine the period of the motion. C) Consider the following non-linear differential equation *+5= x +4. Find the stationary solutions. Expand around each of the stationary so- lutions that you have found, in order to determine if they correspond to stable or unstable equilibria. D) Show that 1 5 E = 2 - 4x is a conserved quantity. Hence draw the phase-space diagram and de- termine for which values of E oscilations…
- We will use differential equations to model the orbits and locations of Earth, Mars, and the spacecraft using Newton’s two laws mentioned above. Newton’s second law of motion in vector form is: F^→=ma^→ (1) where F^→ is the force vector in N (Newtons), and a^→ is the acceleration vector in m/s^2,and m is the mass in kg. Newton’s law of gravitation in vector form is: F^→=GMm/lr^→l*r^→/lr^→l where G=6.67x10^-11 m^3/s^2*kg is the universal gravitational constant, M is the mass of the larger object (the Sun), and is 2x10^30 kg, and m is the mass the smaller one (the planets or the spacecraft). The vector r^→ is the vector connecting the Sun to the orbiting objects. Step one ) The motion force in Equation(1), and the gravitational force in Equation(2) are equal. Equate the right hand sides of equations (1) and (2), and cancel the common factor on the left and right sides. Answer: f^→=ma^→ f=Gmm/lr^→l^2 a^→=Gmm/lr^→l^2 x r^→/lr^→l r^→=r^→/lr^→l * Gmm Could you please…You are playing a game and you push a cart to give it in. speed. The cart starts at the bottom (zero) of a ramp and after reaching the top of the ramp, the cart travels across a horizontal track w/ friction. The mass of the cart is 44 x 10^-3 kg. The ramp is 56 cm high. The length is 70 cm. What can you infer of the intial speed in (m/s)An object is thrown upward with a speed of 15.2 m/s on the surface of planet X where the acceleration due to gravity is 1.8 m/s². What is the maximum height reached by the object? Answer: Check
- A mass m is suspended from a massless spring of natural length 90 cm with the spring constant k = 10 Nm and causes the spring to extend by 7.9 cm. Assuming the gravitational field strength g = 9.8 ms², calculate the value of the mass on the spring. Give your answer in Sl units. Answer: Choose... +An object is thrown upward with a speed of 16.3 m/s on the surface of planet X where the acceleration due to gravity is 1.8 m/s. What is the maximum height reached by the object? Answer: CheckSome physics students are studying periodic motion using an oscillating mass on a spring. After collecting data, they sketched the position versus time graph shown. If the spring constant is 5.84N/m, then what is the mass, in kilograms?
- A mass mm is suspended from a massless spring of natural length 90 cm with the spring constant k=10 Nm-1 and causes the spring to extend by 8.6 cm. Assuming the gravitational field strength g=9.8g, calculate the value of the mass on the spring.After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 46.0 cm. The explorer finds that the pendulum completes 98.0 full swing cycles in a time of 145 s. What is the magnitude of the gravitational acceleration on this planet? Express your answer in meters per second per secondgPlanet=(?)m/s^2A 200 kg mass hangs from a 300 m cable on Mars (g=3.71 m/s2). It is displaced left from equilibrium along an arc with length 30 m and released at t = 0. What is its position relative to equilibrium when t = 20 s? What is its acceleration?