A lady falling has a final velocity of 4m/s
v = 4m/s
Mass of the lady is 60kg.
m = 60kg
Using conservation of energy, the potential energy of the body from the point where the lady is dropping is converted to the final kinetic energy of the lady.
P.E = K.E(final) = ½mv²
P.E = ½ × 60 × 4²
P.E = 480 J.
The cars stop 2.34 m from the collision point and move in the direction dictated by the velocity, 52.8°.
Mass of first car = 1300 kg
Velocity of first car = (21î) km/h = (5.833î) m/s
Mass of second car = 1000 kg
Velocity of second car = (36j) km/h = (10j) m/s
Let the velocity of both cars after collision be v
Using the law of conservation of Momentum.
Momentum before collision = momentum after collision
Momentum of first car before collision = (1300)(5.833î) = (7582.9î) kgm/s
Momentum of second car before collision = (1000)(10j) = (10000j) kgm/s
Momentum of both cars after collision = (1300+1000)v = 2300v
(7582.9î) + (10000j) = 2300v
v = (3.30î + 4.35j) m/s
Magnitude of v = √(3.30² + 4.35²) = 5.46 m/s
Direction of v = tan⁻¹ (4.35/3.30)
Direction of v = 52.8°
Then using the work-energy theorem,
The kinetic energy of the two joint cars = Work done by frictional forces in stopping the joint cars.
Kinetic energy of the cars after collision = (1/2)(2300)(5.46²) = 34,283.34 J
Work done by frictional force = F × d
where F = frictional force = μmg = (0.65)(2300)(9.8) = 14,651 N
d = distance over which the frictional force acts before stopping the two cars = ?
34,283.34 = 14,651d
d = (34,283.34/14,651)
d = 2.34 m
Therefore, the cars stop 2.34 m from the collision point and move in the direction dictated by the velocity, 52.8°.
Hope this Helps!!!
a) We will simply need a STOPWATCH
b) Just let the pendulum to swing 10 times, record the time and then divide it by 10, we have the time period of the pendulum. Then frequency can be found as
f = 1/T
c) As per the time period equation for simple pendulum, we can change the length of pendulum easily to vary the frequency
d) The temperature of room would slightly increase because mechanical energy will convert to thermal energy
e) Period will increase because with increase in temperature, metal will expand and longer pendulum will have more period.
Momentum = (mass) x (speed) .
So 907,175 kg-m/s = (36,287 kg) x (speed)
Divide each side by (36,287 kg):
Speed = (907,175 kg-m/s) / (36,287 kg)
<em>Speed = 25 m/s</em>
That's the truck's <em>speed</em>. We can't do anything that involves the truck's <em>velocity,</em> because we don't know what direction the truck is moving.
It's known as magnetic force.
It cause a Force of attraction between two or more magnetic body. Like poles repel and unlike poles attract.
Answer: 98 N
The weight of an object is given by
where m is the mass of the object, and g is the gravitational acceleration.
In this problem, m=10 kg is the mass of the lemur, while the gravitational acceleration is . Therefore, the weight of the lemur is