Answer: a) Moment = 200N.m
b) F = 500N
Explanation: <u>Moment</u> or <u>Torque</u> is the tendency of a body to rotate because of an aplplied force. It can be calculated as

F is force applied
r is distance from the force to the point of rotation
θ is the angle formed between force and distance
a) Since F and r are perpendicular, θ=90°, sin90° = 1, so


200
<u>Torque</u><u> caused by weight of the barrier at the pivot is </u><u>200N.m</u>
<u />
b) Counterweight has the same torque as pivot:
200
So, to find Force necessary to balance the weight:



F = 500
<u>It is necessary </u><u>a force of 500N</u><u> from the counterweight to balance the weight.</u>
<u />
Answer:
35.7 kg
Explanation:
We are given that
Left scale reads =200N
Right scale reads=150 N
We have to find the mass in kg.
We know that
Weight of child= Sum of two scales=200+150=350 N
Acceleration due to gravity=
We know that
Weight= mg
Using the formula


Hence, the mass of child=35.7 kg
The answer is D, all responses are correct
Explanation:
The kinetic energy is basically the energy possesses by virtue of a body's motion
1. The truck moving to the quarry
let the mass be x
and the velocity is given as 20m/s
we know that the kinetic energy is given as
KE=1/2mv^2
KE=1/2(x)*20^2
KE=1/2(x)400
KE=200x
2. The truck leaving to the quarry
let the mass be 2x
and the velocity is given as 20m/s
we know that the kinetic energy is given as
KE=1/2mv^2
KE=1/2(2x)*20^2
KE=1/2(2x)400
KE=400x
From the analysis the kinetic energy is a function of mass, doubling the mass doubles the kinetic energy