Let k = the force constant of the spring (N/m).
The strain energy (SE) stored in the spring when it is compressed by a distance x=0.35 m is
SE = (1/2)*k*x²
= 0.5*(k N/m)*(0.35 m)²
= 0.06125k J
The KE (kinetic energy) of the sliding block is
KE = (1/2)*mass*velocity²
= 0.5*(1.8 kg)*(1.9 m/s)²
= 3.249 J
Assume that negligible energy is lost when KE is converted into SE.
Therefore
0.06125k = 3.249
k = 53.04 N/m
Answer: 53 N/m (nearest integer)
Answer:
Here, force=20N and displacement=10m
Work=Force×Displacement=20N×10m=200Nm
Answer:
W = 735.75[J]
Explanation:
Work is defined as the product of force by distance. Therefore we can use the following equation.

where:
W = work [J] (units of Joules)
F = force [N] (units of Newtons)
d = distance = 3 [m]
But first, we must determine the force that is equal to the product of mass by gravity (weight of the body).
![F=m*g\\F=25*9.81\\F=245.25[N]](https://tex.z-dn.net/?f=F%3Dm%2Ag%5C%5CF%3D25%2A9.81%5C%5CF%3D245.25%5BN%5D)
![W=F*d\\W=245.25*3\\W=735.75[J]](https://tex.z-dn.net/?f=W%3DF%2Ad%5C%5CW%3D245.25%2A3%5C%5CW%3D735.75%5BJ%5D)