A body moving with inital speed 2m/s with uniform acceleration 2m/s for 20 sec if net work done body is 100 joule then find the mass of the body.
Answers
Answer:
200 watt
Explanation:
Given that,
Mass m=2kg
Initial velocity u=0m/s
Final velocity v=20m/s
Time t=4s
Now, the acceleration is
v=u+at
a=
t
v−u
a=
4
20
a=5m/s
2
Now, the force is
F=ma
F=2×5
F=10N
Now, the displacement is
s=ut+
2
1
at
2
s=0+
2
1
×5×16
s=40m
Now, the work done is
W=F⋅s
W=10×40
W=400J
Now, the power is
P=
t
W
P=
2
400
P=200watt
Answer :
›»› The mass of the body = 2 kg
Given :
- Initial Velocity of body = 2 m/s
- Acceleration of body = 2 m/s²
- Time taken by body = 20 sec
- Work Done of body= 100 J
To Calculate :
- Mass of the body = ?
How to Calculate?
Here in this question we have to find the mass of body. So, firstly we have to find the Distance travelled by body after finding distance we will find Force applied by body after finding force applied by body we will find mass of body
To calculate the Distance travelled by body we'll use second equation of motion which says s = ut + ½ at²
『Where, s is the Distance, a is the Acceleration, and t is the time taken by body.』
To calculate the Force applied by body we'll use work done formula which says W = F × s
『Where, W is the Work done, F is the force and s is the Distance travelled by body.』
Finally, we will calculate the Mass of body by using the second law of Newton which says F = ma
『Where, F is the Force, m is the mass and a is the Acceleration.』
Let's calculate mass of body....
Calculation :
From second equation of motion
⇒ s = ut + ½ at²
⇒ s = 2 × 20 + ½ × 2 × 20²
⇒ s = 40 + ½ × 2 × 400
⇒ s = 40 + 1 × 400
⇒ s = 40 + 400
⇒ s = 440 m
As we know that
⇒ W = F × s
⇒ 100 = f × 440
⇒ f = 440/100
⇒ f = 4.4 N
Now ,
From second law of Newton
⇛ F = ma
⇛ 4.4 = m × 2
⇛ 4.4 = 2m
⇛ m = 4.4/2
⇛ m = 2 kg
║Hence, the mass of the body is 2 kg.║