Answer;
= 0.244 seconds
Explanation;
500 rpm is equivalent to; 1500 × 2π radians per minute
= 9424.8 rad/minute
To get revolutions per second we divide by 60
= 9424.8/60
= 157.08 radians per second.
Then we divide by 64.3 rad/s^2 to get time;
= 157.08/64.3
= 0.244 seconds.
Answer:
3 x 10^ 8 m/s
Explanation:
Speed of wave = wavelength/time period
= 30000/0.0001
= 300000000 m/s
Given that,
Mass of the stone, m = 400 g = 0.4 kg
Initial speed, u = 20 m/s
It is climbed to a height of 12 m.
To find,
The work done by the resistance force.
Solution,
Let v is the final speed. It can be calculated by using the conservation of energy.
![v=\sqrt{2gh} \\\\v=\sqrt{2\times 9.8\times 12} \\\\v=15.33\ m/s](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B2gh%7D%20%5C%5C%5C%5Cv%3D%5Csqrt%7B2%5Ctimes%209.8%5Ctimes%2012%7D%20%5C%5C%5C%5Cv%3D15.33%5C%20m%2Fs)
Work done is equal to the change in kinetic energy. It can be given as follows :
![W=\dfrac{1}{2}m(v^2-u^2)\\\\=\dfrac{1}{2}\times 0.4\times (15.33^2-20^2)\\\\=-32.99\ J](https://tex.z-dn.net/?f=W%3D%5Cdfrac%7B1%7D%7B2%7Dm%28v%5E2-u%5E2%29%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%200.4%5Ctimes%20%2815.33%5E2-20%5E2%29%5C%5C%5C%5C%3D-32.99%5C%20J)
So, the required work done is 32.99 J.
Answer: In SI units, G has the value 6.67 × 10-11 Newtons kg-2 m2. The direction of the force is in a straight line between the two bodies and is attractive. Thus, an apple falls from a tree because it feels the gravitational force of the Earth and is therefore subject to “gravity”.
Explanation:
<h2>
The momentum is greater for 0.1 kg bullet traveling at 300 m/s</h2>
Explanation:
Momentum = Mass x Velocity.
A 2500 kg truck moving at 0.01 m/s
Momentum = Mass x Velocity
Momentum = 2500 x 0.01 = 25 kgm/s
A 0.1 kg bullet traveling at 300 m/s
Momentum = Mass x Velocity
Momentum = 0.1 x 300 = 30kgm/s
Momentum of 0.1 kg bullet traveling at 300 m/s > Momentum of 2500 kg truck moving at 0.01 m/s.
The momentum is greater for 0.1 kg bullet traveling at 300 m/s