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 : The density of rock reported should be, 3.1 g/mL
Explanation :
Mass of rock = 18.3 g
Original volume of water = 11.1 mL
New volume of water = 17.0 mL
First we have to calculate the volume of rock.
Volume of rock = New volume of water - Original volume of water
Volume of rock = 17.0 mL - 11.1 mL
Volume of rock = 5.9 mL
Now we have to determine the density of rock.
Formula used :


Thus, the density of rock reported should be, 3.1 g/mL
Answer:
4m/s2
Explanation:
The following data were obtained from the question:
U (initial velocity) = 10m/s
V (final velocity) = 30m/s
t (time) = 5secs
a (acceleration) =?
Acceleration is the rate of change of velocity with time. It is represented mathematically as:
a = (V - U)/t
Now, with this equation i.e
a = (V - U)/t, we can calculate the acceleration of the race car as follow:
a = (V - U)/t
a = (30 - 10)/5
a = 20/5
a = 4m/s2
Therefore, the acceleration of the race car is 4m/s2
Answer:
A. 36,000 W
Explanation:
= mass of the car = 900 kg
= Initial speed of the car = 20 m/s
= Final speed of the car = 0 m/s
= Work done by the brakes on the car
Magnitude of work done on the car by the brakes is same as the change in kinetic energy of the car.hence

= time taken by the car to come to stop = 5 s
= Average power produced by the car
Average power produced by the car is given as

Answer:
<em><u>Gravitational</u></em><em><u> </u></em><em><u>force</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>1</u></em><em><u>.</u></em><em><u>3</u></em><em><u>3</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em><em><u>^</u></em><em><u>-</u></em><em><u>9</u></em><em><u> </u></em><em><u>N</u></em>
Explanation:

