Complete Question
A 30 cm cm wrench is employed to loosen a bolt, with force applied 0.30m from the bolt. It requires 60 N to loosen the bolt when force is applied perpendicular to the wrench. How much force would be necessary if the force were applied at a 30-degree angle from perpendicular?
Response:
The strength needed is 
Clarification:
According to the problem, we know that
The length of the wrench is 
The distance from the bolt is 
The force necessary to loosen the bolt is 
The angle of application is 
Generally, the torque required for loosening the bolt is defined as



Now for the bolt to loosen at
the torque at 90° must equal that at 
Thus, the torque at
is represented mathematically as

substituting values gives us



Answer:
The snowball's speed after the impact is 3 m/s
Explanation:
Given the following:
mass of each ball
m₁ = 0.4 Kg
m₂ = 0.6 Kg
initial speed of both balls = v₁ = 15 m/s
Speed of 1 Kg mass post-collision =?
Applying conservation of momentum
m₁ v₁ - m₂ v₁ = (m₁+m₂) V
A negative velocity indicates that the second ball moves in the opposite direction.
0.4 x 15 - 0.6 x 15 = (1) V
Therefore,
V = - 3 m/s
Consequently,
The snowball's speed following the collision is 3 m/s
Answer:
Incomplete question: "Each block has a mass of 0.2 kg"
The velocity of the center of mass for the two-block system just prior to their collision is 2.9489 m/s
Explanation:
Provided information:
θ = angle of the surface = 37°
m = mass of each block = 0.2 kg
v = speed = 0.35 m/s
t = collision time = 0.5 s
Question: What is the velocity of the center of mass for the two-block system right before the blocks collide, vf =?
Change in momentum:




It’s essential to calculate the required force:

Here, g = acceleration due to gravity = 9.8 m/s²

