A 2.2 kg toy car can move along an x axis. The figure gives Fx of the force acting on the car, which begins at rest at time t-O. The scale the Fx axis is set by Fxs-6.0 N. In unit-vector notation, what is t (a)t - 4.0 s and (b)t - 7.0 s.(c) what is att-9.0s? on F, (N) A t(s)
Q: A copper block with mass m = 200 g, is at rest on a glass surface, where the plane makes an angle θθ…
A: Newton's second law of motion states that the acceleration of an object is directly proportional to…
Q: A flea jumps by exerting a force of 1.32 x 10 N straight down on the ground. A breeze blowing on the…
A: force exerted by flea = 1.32 x 10-5 N down wardbut according Newtons third lawforce acting on flea…
Q: A box of apples of mass 22 kg slides 2.5 m down a ramp inclined at 44o to the horizontal. The force…
A: mass of box of applies, m = 22 kg Length of ramp, L = 2.5 m Friction force, f = 79 N Degree of…
Q: The total force on a 20-kg object is ( 15 ı ^ + 35 ȷ ^ + 45 k ^ ) Newtons. Calculate the object's…
A: From Newton’s second law of motion, determine the acceleration of the object.
Q: A horizontal force of 93.2N is applied to a 42.5 kg crate on a rough level surface. If the crate…
A: Given: Force = 93.2 N mass = 42.5 kg acceleration = 1.08 m/s2 To Find : Magnitude of kinetic…
Q: What is F1, the force on the ball due to the bottom spring, at t=0? Your answer must be a vector…
A: Given: For bottom spring, spring constant = 300 N/m Spring natural length = 3 m Spring length…
Q: 58. Find the unit vector of direction for the following vector quantities: (a) Force F = (3.0ï —…
A:
Q: A particle of mass 1.2 kg is acted on by forces F, = 18î N, F, = -11î N, and F, = 9.0j N. What is…
A: Given data: Mass (m) = 1.2 kg F1→ = 18i^ N , F2→ = -11i^ Nand F3→ = 9.0j^ N Required: The…
Q: exerts a force of 1.18 x 10-6 N on the flea. Find the direction and magnitude (in m/s2) of the…
A:
Q: A mass of 0.84 kg is moved by a force that is always directed towards the North but its magnitude…
A: We know that according to Newton's second law, the force F is equal to mass m times acceleration ,…
Q: What is F2, the force on the ball due to the top spring, at t=0? Your answer must be a vector with…
A: Given that: Lo=3 mL1=2.5 m , k1=300 N/m (bottom)L2=4.5 m , k2=100 N/m (top)m=5 kg
Q: A horizontal force of magnitude F = 57.5 N pushes on a block of mass m = 4.7 kg. The block is on a…
A: The given situation can be represented as
Q: Consider the folowing situation: A 2 kg box on an inclined frictionless table pulled up the incline…
A: Given data: The given mass of the block, m=2 kg. The angle of the inclined plane, θ=15°.
Q: A driver in a 1500-kg car driving at 10.0 m/s gently presses the brakes momentarily. The brakes…
A:
Q: A flea jumps by exerting a force of 1.02 x 10 5N straight down on the ground. A breeze blowing on…
A: Data Given , Force straight down on the ground ( F1 ) = 1.02 × 10-5 N Force parallel to the ground (…
Q: 7. Review. Three forces acting on an object are given by F, V (-2.00î + 2.00ĵ) N, and F, =(5.00î –…
A:
Q: 1.5 Assume 50 kg of mass are placed on a, only O the ling the pan of a spring balance located on a…
A: Given Mass m = 50 kg Acceleration due to gravity g = 9.7 m/s2
Q: A constant horizontal force Fa pushes a 7.50 kg FedEx package across a frictionless floor on which…
A: The mass of the package is 7.50 kg.
Q: The 1.5 Mg = 1,500 kg sports car has a tractive force of F = 4.5 kN = 4,500 N. If it produces the…
A: The mass of the car, m=1500kg The tractive force, F=4500 N The velocity of the car, v=-0.05t2+3t m/s
Q: A 0.25 kg particle moves in an xy plane according to -3.7 1542-43 and y(t) = 25 + 7t9t2, with x and…
A: We are given x and y coordinates as function of time. Differentiating them respectively gives x and…
Q: Problem 2: A runaway train has a mass of 1.5 × 104 kg and a speed of 5 m/s. How much time does it…
A:
Q: A flea jumps by exerting a force of 1.17 x 10-5 N straight down on the ground. A breeze blowing on…
A:
Q: The figure shows an overhead view of a 0.022 kg lemon half and two of the three horizontal forces…
A:
Q: Two horizontal forces, P and Q, are acting on a block that is placed on a table. We know that P =…
A: Given: The mass of the object is 5.1 kg. P→=-2.1i^+4.25k^ N The velocity of the object is constant.
Q: Consider a 72 kg high-jumper. Calculate the magnitude of the force, in newtons, the jumper must…
A: given a= 4g = 4×9.8m/s2 = 39.2 m/s2 mass of jumper =m= 72 kg
Q: Three forces act on a particle that moves with unchanging velocity F₁ = (2.3 N )î + (3.8 N )Ĵ +…
A: We are given 3 forces. We are given that these 3 forces are acting on particle. They are acting such…
Q: The figure shows two forces, F₁ = +2570 N and F2 = +4370 N, acting on a spacecraft; the plus signs…
A: Given that The two forces are F1=+2570N and F2=+4370N. The plus sign indicates both the forces are…
Q: of 1.16 x 106 N on the flea. Find the direction and magnitude (in m/s²) of the accele (Let us assume…
A: `


Step by step
Solved in 3 steps with 2 images

- A 3 kg particle moves along an x axis, being propelled by a variable force directed along that axis. Its position is given by x = 2 m + (2 m/s)t + ct2 - (3 m/s³)t³ with x in meters and t in seconds.The factor c is a constant. At t = 4 s the force on the particle has a magnitude of 33N and is in the negative direction of the axis. What is c? Number UnitsThree blocks are sitting in a row on a frictionless tabale; block 1 has m1 = 10kg, block 2 has m2=20 kg; block 3 has m3 = 30kg; block 1 is on the left , block 2 is in the middle, block 3 is on the right ; a 50-pound push force is applied to block 1 to push all three blocks to the right; this is a contact forces problem; draw the blocks and the force vectors, calculate each force on each block, the net force on each block, and the acceleration of the systemA car weighing 2.5 metric tons and traveling at 90 km/h hits a 500 m long stretch of black ice. Unfortunately, due to skidding, neither accelerating nor braking has any effect on the speed! The driver manages to maintain steady straight direction of motion and the only impact is provided by the ice friction force, which is numerically equal to 4v² Newtons, where the velocity v of the car is measured in m/sec. (a) Using Newton's Second Law F = ma, set up a mathematical model for the position x(t) and velocity v(t) of the car as functions of time t. Start by drawing a diagram and choosing a consistent system of units based on kg, m, sec (1 ton = 1000 kg, 1 m/sec = 3.6 km/h, 1 N = 1 kg · m/sec²). Introduce and label the variables, show the units and write down the differential equations and the intial conditions. (b) Use the model in part a to calculate v(t) and x(t). Fully show the process of solving the initial value problems. (c) Based on your work so far, how long will it take to pass…
- Three forces acting on an object are given by F₁ = (-1.95î + 6.60ĵ) N, F₂ = (4.651 – 1.85ĵ) N, and F3 = (-43.51) N. The object experiences an acceleration of magnitude 3.65 m/s². (a) What is the direction of the acceleration? O (counterclockwise from the +x-axis) (b) What is the mass of the object? kg (c) If the object is initially at rest, what is its speed after 18.0 s? m/s (d) What are the velocity components of the object after 18.0 s? (Let the velocity be denoted by v.) î+ î) m/sA ball with mass 0.75 kg is thrown upward with initial velocity 30 m/s from the roof of a building 10 m high. Assume there is a force due to |v| air resistance of magnitude directed opposite to the velocity, where 30 the velocity v is measured in m/s. NOTE: Use g=9.8 m/s² as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: secondsA ball with mass 0.1 kg is thrown upward with initial velocity 5 m/s from the roof of a building 60 m high. Assume there is a force due to |v| air resistance of magnitude directed opposite to the velocity, where 30 the velocity v is measured in m/s. NOTE: Use g=9.8 m/s² as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.
- A 20 kg crate accelerates along a horizontal floor when it is pushed with a resultant force of 10 N parallel to the floor. How far will the crate move in 5s (starting from rest)?In each my sections of MCEG 1101 (PO1 & P02), a student was asked to toss a tennis ball in front of the screen upon which a grid was projected. Based on my slow-motion video recording of the ball tossed in Section P01, the following data was generated (also see uploaded Excel file "tennis ball toss trajectory"). x (grid units) 1 2 3 4 5 6 verti cal position, y (ft) 4 3.5 2.5 2 Based on these data, a parabolic trendline was developed, as shown in the plot below: 1.5 1 0.5 819 0 7 y (grid units) 0 3 5.3 6.5 6.7 5.8 4 0.9 0.5 1 x(ft) 0.55 1.1 1.65 2.2 2.75 3.3 3.85 4.4 Tennis Ball Toss Data from MCEG 1101-P01 y(ft) 0 1.5 1.65 2.915 3.575 3.685 3.19 2.2 0.495 y = -0.9307x² + 4.7619x - 2.3925 R² = 0.999 2.5 2 3.5 horizontal position, x (ft) 3 4 4.5 5