Answer:
The final speed of the system is 21 cm/s.
Explanation:
Given:
Mass of the cart (M) = 236 g
Initial velocity of the cart (U) = 26.9 cm/s
Mass of the clay (m) = 66.1 g
Initial velocity of the clay (u) = 0 cm/s (At rest initially)
Let the final velocity of the system be 'v'.
Now, total initial momentum is given as:
Initial momentum = Initial momentum of cart + Initial momentum of clay
Final momentum of the system is given as:
Final momentum = Total mass × Final velocity
Now, from conservation of total momentum, final momentum is equal to initial momentum. So,
Therefore, the final speed of the system is 21 cm/s.
Answer:
Distance, d = 192 meters
Explanation:
We have,
Initial velocity of an object is 10 m/s
Acceleration of the object is 3.5 m/s²
Time, t = 8 s
We need to find the distance travelled by the object during that time. Second equation of motion gives the distance travelled by the object. It is given by :
So, the distance travelled by the object is 192 meters.
Answer:
1. As rocket mass increases, acceleration decreases.
2. The inverse of the mass of the boat.
Explanation:
1. Newton's second law of motion states;
F = ma
where F is the force applied, m is the mass and a is the acceleration.
Therefore, increasing the mass of a rocket increases its weight which would reduce its acceleration provided that the force is constant. Thus, as rocket mass increases, acceleration decreases.
2. The slope of the graph can be expressed as;
From Newton's second law,
F = ma
Slope = (Δa) ÷ (ΔF)
Slope =
⇒ =
Therefore, the slope of the graph is the reciprocal of the mass of the boat.