Answer:
Explanation:
a net force of F causes a cart with a mass of M to accelerate at 48 cm/s/s.
F = M x 48
Mass M = F / 48
a )
When force = 2F and mass = M
Acceleration = force / mass
= 2F /F/48
= 48 X 2 = 96 cm/s²
b )
When force = F and mass = 2M
Acceleration = force / mass
= F /2F/48
= 24 cm/s²
c )
When force = 2F and mass = 2M
Acceleration = force / mass
= 2F /2F/48
= 48 cm/s
d )
When force = 2F and mass = 4M
Acceleration = force / mass
= 2F /4F/48
= 24 cm/s
e)
When force = 4F and mass = 2M
Acceleration = force / mass
= 4F / 2M
= 4F / 2 F/48
= 48 x 2
Acceleration = 96 cm/s²
Slope of a curve Y plotted against X is mathematically given as

now here we can see that if similarly graph is plotted against distance and time then slope is given as

here we can say that above is ratio of small distance and very small interval of time.
so here we can say that this ratio of distance and time for very small interval of time is known as instantaneous speed of the object which is falling freely under gravity.
So here slope of the graph will represent the speed at a given instant.
Answers:
a) 5400000 J
b) 45.92 m
Explanation:
a) The kinetic energy
of an object is given by:

Where:
is the mass of the train
is the speed of the train
Solving the equation:

This is the train's kinetic energy at its top speed
b) Now, according to the Conservation of Energy Law, the total initial energy is equal to the total final energy:


Where:
is the train's initial kinetic energy
is the train's initial potential energy
is the train's final kinetic energy
is the train's final potential energy, where
is the acceleration due gravity and
is the height.
Rewriting the equation with the given values:

Finding
:
A) diagram is shown on the image below
b) Mass m = 450/9.8 = 45.918 KgNet upward force = T + T = 2T = 620 NNet downward force = 290 + 160 = 450 NResultant force F = Net upward force - Net downward force ma = 620 - 450 45.918 a = 170 Acceleration a = 170/45.918 =
3.7 m/s^2 (upward)Here Net upward force > Net downward force, So the resultant force directed upwards, hence acceleration will be
upward.
(c)Consider the case of boy alone, then from Newtons law of motion we can write Net force F = n + T - 290 ma = n + 310 - 290 where m = 290/9.8 = 29.59 Kg 29.59 * 3.7 = n + 20 109.483 = n + 20 n =
89.483 N