D. Heat each cube to the same temperature, place each cube into different containers with 500 grams of water at the same temperature, and measure the temperature of the water.
First sum applied the Newton's second law motion: F = ma
Force = mass* acceleration
This motion define force as the product of mass times Acceleration (vs.Velocity). Since acceleration is the change in velocity divided by time,
force=(mass*velocity)/time
such that, (mass*velocity)/time=momentum/time
Therefore we get mass*velocity=momentum
Momentum=mass*velocity
Elephant mass=6300 kg; velocity=0.11 m/s
Momentum=6300*0.11
P=693 kg (m/s)
Dolphin mass=50 kg; velocity=10.4 m/s
Momentum=50*10.4
P=520 kg (m/s)
The elephant has more momentum(P) because it is large.
Weight of jasmine (m) = 400 N
Height climbed on wall (h) = 5m
Total time taken in climbing = 5 sec
Work done in climbing the wall = rise in potential energy = mgh
= 400×9.8×51
= 19600J
Power generated by Jasmine = potential energy / time
= 19600/5
= 3920Watts
The horizontal and vertical motions of balloons are independent from each other.
Let vertical component of initial velocity U' horizontal component of initial velocity U"
Time of landing (t) is found with the help of vertical motion.
Since vertical component of initial velocity of balloon is zero(U' = 0)
From equation h = U't + 1/2gt^2
h = 1/2gt^2
t = √(2h/g)
t = √( 2×150/9.8)
t = 5.53 sec
Horizontal velocity = 50m/s
Horizontal range of balloon, R = U"t
= 50× 5.53
= 27.65m
So the balloon will go 27.65 metre away from the bridge
Convection occurs when the water becomes less dense and rises to the top as it warms, creating convection currents. When heater warms up the water around it, the water rises to the top and displaces cooler water, which is denser so it sinks lower.
Radius of curvature (r) = 24m
Velocity of car (v) = 17m/s
The centripetal acceleration (Ac) has a magnitude equal to the square of the body’s speed (v) along the curve divided by the distance (r) from the centre of the circle to the moving body; that is, Ac = v^2/r.
= 17^2/24
= 289/24
= 12.0416 m/s^2
Mass of car (m) = 2×10^3 kg
Radius of curvature (r) = 24m
Velocity of car (v) = 17m/s
The centripetal acceleration (Ac) has a magnitude equal to the square of the body’s speed (v) along the curve divided by the distance (r) from the centre of the circle to the moving body; that is, Ac = v^2/r.
= 17^2/24
= 289/24
= 12.0416 m/s
Force = mass× acceleration
= 2×10^3 × 12.0416
= 24083.2 Newton
Or
F = 2.4×10^4 Newton
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