Given:
The mass of the truck is m1 = 3162 kg
The speed of the truck is v1i = 12 m/s in East
The mass of the parked car is m2 = 510 kg
The speed of car is v2i = 0 m/s
The speed of car after collision is v2f = 24 m/s in East
To find the speed of the truck after collision.
Explanation:
The final velocity of the truck will be
Thus, the speed of the truck after collision is 8.129 m/s
Answer:
Average speed, v = 25 m/s
Explanation:
It is given that,
Distance travelled by the object, d = 50 meters
Time taken, t = 2 seconds
Average speed is defined as the total distance divided by total time taken i.e.
v = 25 m/s
So, the sped of the object is 25 m/s. Hence, this is the required solution.
Because the atoms and molecules all have different properties
The momentum of truck is 20790 kg m/s
<em><u>Solution:</u></em>
Given that we have to find the momentum of truck
From given, 1155 kg truck has a velocity of 18 m/s
Therefore,
Mass = 1155 kg
Velocity = 18 m/s
<em><u>The momentum is given by formula:</u></em>
Where, m is mass in kg and v is velocity in m/s
Substituting the values we get,
Thus momentum of truck is 20790 kg m/s
Tools we'll use:
-- Gravitational potential energy = (mass) x (gravity) x (height)
-- Kinetic energy (of a moving object) = (1/2) (mass) x (speed)²
When the pendulum is at the top of its swing,
its potential energy is
(mass) x (gravity) x (height)
= (5 kg) x (9.8 m/s²) x (0.36 m)
= (5 x 9.8 x 0.36) joules
= 17.64 joules .
Energy is conserved ... it doesn't appear or disappear ...
so that number is exactly the kinetic energy the pendulum
has at the bottom of the swing, only now, it's kinetic energy:
17.64 joules = (1/2) x (mass) x (speed)²
17.64 joules = (1/2) x (5 kg) x (speed)²
Divide each side by 2.5 kg:
17.64 joules / 2.5 kg = speed²
Write out the units of joules:
17.64 kg-m²/s² / 2.5 kg = speed²
(17.64 / 2.5) (m²/s²) = speed²
7.056 m²/s² = speed²
Take the square root
of each side: Speed = √(7.056 m²/s²)
= 2.656 m/s .
Looking through the choices, we're overjoyed to see
that one if them is ' 2.7 m/s '. Surely that's IT !
_______________________________
Note:
The question asked for the pendulum's 'velocity', but our (my) calculation
only yielded the speed.
In order to describe a velocity, the direction of the motion must be known,
and the question doesn't give any information on exactly how the pendulum
is hanging, and how it's swinging.
We know that at the bottom of its swing, the motion is completely horizontal,
but we have no clue as to what direction. So all we can discuss is its speed.
