Respuesta :
Complete Question:
A force of 5.0 N moves a 6.0 kg object along a rough floor at a constant speed of 2.5 m/s.
(a) How much work is done in 25 s?
(b) What power is being used?
(c) What force of friction is acting on the object?
Answer:
a. Workdone = 312.5 Joules.
b. Power = 12.5 Watts.
c. Force of friction = 5 Newton.
Explanation:
Given the following data;
Force = 5N
Speed = 2.5m/s
Mass = 6kg
Time = 25 secs
a. To find the work done.
We would first solve for the distance covered by the object.
Distance = speed * time
Distance = 2.5 * 25
Distance = 62.5 meters.
Workdone = force * distance
Workdone = 5 * 62.5
Workdone = 312.5 Joules.
b. To find the amount of power being used.
Power = workdone/time
Power = 312.5/25
Power = 12.5 Watts.
c. To find the force of friction is acting on the object.
Since we know that there is no net force acting on the body. Therefore, the force of friction is equal to 5 Newton.
a) Power is being used will be 12.5 Watts.
b) Force of friction is acting on the object will be 5 Newton.
What is the friction force?
It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).
Mathematically it is defined as the product of the coefficient of friction and normal reaction.
The given data in the problem is;
m is the mass of object =6.0 kg
u is the speed =2.5 m/s
a) Power is being used will be 12.5 Watts.
The distance traveled by the object is;
[tex]\rm d = v \times t \\\\ \rm d = 2.5 \times 25 \\\\ \rm d = 62.5 m[/tex]
The work done is the product of force and displacement;
[tex]\rm W = F \times d \\\\ \rm W = 5 \times 62.5 \\\\ \rm W = 312.5 \ J[/tex]
The power is the ratio of work done to the time;
[tex]\rm P= \frac{W}{t} \\\\ \rm P= \frac{312.5 }{25 } \\\\\ \rm P=12.5 \ Watt[/tex]
Hence Power is being used will be 12.5 Watts.
b) Force of friction is acting on the object will be 5 Newton.
If the all unbalanced force is zero the net force is equal to the force of friction;
The force of friction= Net force
Force of friction= 5 Newton.
Hence the force of friction is acting on the object will be 5 Newton.
To learn more about the friction force refer to the link;
https://brainly.com/question/1714663
