Answer:
The value is 
Explanation:
From the question we are told that
The horizontal speed is 
The horizontal distance is 
Generally the time taken by the hot magma in air before landing is mathematically represented as

=> 
=> 
Generally the initial vertical velocity of the magma when it was lunched is

Then the final velocity of the magma when it hits the ground is mathematically represented s

Here the negative sign mean that the direction of the velocity is towards the negative y -axis
So

=> 
Answer:

Explanation:
From the question we are told that
Radius of vertical r= 8m
Force exerted by passengers is 1/4 of weight
Generally the net force acting on top of the roller coaster is give to be

where


Generally the net force is given to be 




Mathematical we can now derive V




Therefore the speed of the roller coaster is given ton be 
Answer:
Density = 1.14 kg/mm³
Explanation:
Given the following data;
Volume = 2.10 cm³ to mm = 2.10 * 10 = 21 mm³
Mass = 23.94kg
To find the density;
Density can be defined as mass all over the volume of an object.
Simply stated, density is mass per unit volume of an object.
Mathematically, density is given by the equation;

Substituting into the equation, we have;

Density = 1.14 kg/mm³
Answer:
a balance and a beaker of water
Explanation:
The mass can easily be measured with balance. If you drop the key in a beaker of water, the water inside the beaker will increase and this increases the volume of water that will be equal to volume of key.
Answer:
The velocity of the ball when it first hit the net is Vi= 106.97 m/s
Explanation:
Vf= 0
Vi= ?
a= 56.3 m/s²
t= 1.9 s
Vf= Vi - a*t
Vi= a*t
Vi= 106.97 m/s