A certain spring stores 10.0 J of potential energy when it is stretched by 2.00 cm from its equilibrium position. (a) How much potential energy would the spring store if it were stretched an additional 2.00 cm? (b) How much potential energy would it store if it were compressed by 2.00 cm from its equilibrium position? (c) How far from the equilibrium position would you have to stretch the string to store 20.0 J of potential energy? (d) What is the force constant of this spring?
A certain spring stores 10.0 J of potential energy when it is stretched by 2.00 cm from its equilibrium position. (a) How much potential energy would the spring store if it were stretched an additional 2.00 cm? (b) How much potential energy would it store if it were compressed by 2.00 cm from its equilibrium position? (c) How far from the equilibrium position would you have to stretch the string to store 20.0 J of potential energy? (d) What is the force constant of this spring?
A certain spring stores 10.0 J of potential energy when it is stretched by 2.00 cm from its equilibrium position. (a) How much potential energy would the spring store if it were stretched an additional 2.00 cm? (b) How much potential energy would it store if it were compressed by 2.00 cm from its equilibrium position? (c) How far from the equilibrium position would you have to stretch the string to store 20.0 J of potential energy? (d) What is the force constant of this spring?
An m = 69.0-kg person running at an initial speed of v = 4.50 m/s jumps onto an M = 138-kg cart initially at rest (figure below). The person slides on the cart's top surface and finally comes to rest relative to the cart. The coefficient of kinetic friction between the person and the cart is
0.440. Friction between the cart and ground can be ignored. (Let the positive direction be to the right.)
m
M
(a) Find the final velocity of the person and cart relative to the ground. (Indicate the direction with the sign of your answer.)
m/s
(b) Find the friction force acting on the person while he is sliding across the top surface of the cart. (Indicate the direction with the sign of your answer.)
N
(c) How long does the friction force act on the person?
S
(d) Find the change in momentum of the person. (Indicate the direction with the sign of your answer.)
N.S
Find the change in momentum of the cart. (Indicate the direction with the sign of your answer.)
N.S
(e) Determine the displacement of the…
Small ice cubes, each of mass 5.60 g, slide down a frictionless track in a steady stream, as shown in the figure below. Starting from rest, each cube moves down through a net vertical distance of h = 1.50 m and leaves the bottom end of the track at an angle of 40.0° above the horizontal.
At the highest point of its subsequent trajectory, the cube strikes a vertical wall and rebounds with half the speed it had upon impact. If 10 cubes strike the wall per second, what average force is exerted upon the wall?
N ---direction--- ▾
---direction---
to the top
to the bottom
to the left
to the right
1.50 m
40.0°
The magnitude of the net force exerted in the x direction on a 3.00-kg particle varies in time as shown in the figure below.
F(N)
4
3
A
2
t(s)
1
2 3
45
(a) Find the impulse of the force over the 5.00-s time interval.
==
N⚫s
(b) Find the final velocity the particle attains if it is originally at rest.
m/s
(c) Find its final velocity if its original velocity is -3.50 î m/s.
V₁
m/s
(d) Find the average force exerted on the particle for the time interval between 0 and 5.00 s.
=
avg
N
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