Answer:
The work done by gravity moving the box up is -514.5 Joules.
Explanation:
The gravity acts in the direction of the displacement, which in this case is negative (ground - top shelf), and so the resulting work is negative. The work is calculated as:

The work done by gravity moving the box up is -514.5 Joules.
Answer:
a) 
b) 
c) 
Explanation:
a) In the equilibrium position of the system, that is when the spring is not elongated, the potential energy is zero. Therefore, the total energy of the system is the maximum kinetic energy:

b) The force constant of the spring can be calculated from the natural frequency of the system:

Recall that
, that is the distance traveled in one revolution divided into the time of one revolution. Replacing and solving for k:

c) The maximum speed is directly proportional to the amplitude of the motion:

Answer:
32 ms
Explanation:
v=32ms.
Explanation:
I will assume that you mean that the acceleration is 8.0 ms2, as 8.0ms is a value for velocity, not acceleration.
Here, we use the formula v=u+at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is time. Let's substitute values, then:
v=u+at,
v=0+8.0⋅4.0
v=32,
v=32ms.
Hope it Helps! :D .
1.) Have your keys in hand before approaching or entering your car.
2. Be alert to other pedestrians and drivers.
3.) Search for signs of movement between, beneath and around objects to both sides of your vehicle
4.) check the spare tire for proper inflation
Answer: a) 7.1 * 10^3 N; b) -880 N directed out of the curve.
Explanation: In order to solve this problem we have to use the Newton laws, then we have the following:
Pcos 15°-N=0
Psin15°-f= m*ac
from the first we obtain N, the normal force
N=750Kg*9.8* cos (15°)= 7.1 *10^3 N
Then to calculate the frictional force (f) we can use the second equation
f=P sin (15°) -m*ac where ac is the centripetal acceletarion which is equal to v^2/r
f= 750 *9.8 sin(15°)-750*(85*1000/3600)^2/150= -880 N