1.5. A particle of mass m moves linearly under the action of a time varying force. The force time diagram is a parabola as shown in the Fig. 1.5. The maximum value of the force is equal to X. Calculate the displacement of the particle in time T. Force K X Fig. 1.5 time
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- Weight can be measured as the downward force an object exerts due to its mass times the gravitational pull of the Earth. A rock from the moon weighs 6.57 Newtons on Earth. How much did this rock weigh on the moon? The moon has a gravitational acceleration of 1.622 m/s.A woman stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v, = 19.5 m/s. The rock leaves her hand at a height of h = 49.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) m Yo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s Voy m/sA rock, in deep space, has a rocket thruster, with negligible mass, attached to it. The rocket causes a force of 3,300[N]. If the rock has a mass of 4.62×104[kg], what is the acceleration experienced by the rock, due to this force alone? Express your answer in terms of m/s2.
- Please solve it fast.A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v = 23.0 m/s. The rock leaves his hand at a height of h = 43.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. 4 7 i (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) Xo = Yo = m (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s m/s VoySome 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?
- Question 3. The cart shown in figure below moves with constant deceleration changing the speed from v0 = 5 m/s to v1 = 1 m/s. After 2 seconds when it reaches the speed v1 it suddenly stops. Write the displacement of the mass as a function of time. Mass m moves without friction on the surface of the cart. Assume positive direction from left to right (direction of motion of the cart). Numerical values: m = 2 kg, k = 1.152 kN/m. V k Ans: x(t) = 3.472 cos 24 t + 41.6 sin 24 t (mm) m LLet's consider two vectors, A = (-7, 10), B = (-5, -8), and C = (-1, 6) as shown below. A C B What is the magnitude of A+ B+ C? Answer What is the direction (8) of A+B+C relative to +x-axis? a-839 b. 20 C-85 3 d. 148°1. Given the vectors M = -10āx + 4ã, – 8ả, and Ñ = 8å, + 7ã, – 2ã,, find: a. A unit vector in the direction of -M + 2Ñ b. The magnitude of 5å, + N – 3M c. M||2Ñ|(M + N)
- Two forces act on a 2.95 kg object, the gravitational force and a second, constant force. The object starts from rest and in 1.20 s is displaced (4.701 - 3.30ĵ) m. Write the second force in unit vector notation. (Enter your answer in kg · m/s². Assume the gravitational force acts in the -ĵ direction.) kg. m/s²A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by v⃗ =[ 5.00m/s − (0.0180m/s3) t2 ] i + [ 2.00m/s + (0.550m/s2) t ] j . a. What is the magnitude of the velocity of the car at t = 8.00 s? b. What is the direction (in degrees counterclockwise from + x-axis) of the velocity of the car at t = 8.00 s? c. What is the magnitude of the acceleration of the car at t = 8.00 s? d. What is the direction (in degrees counterclockwise from + x-axis) of the acceleration of the car at t = 8.00 s?I need help making a graph for this