Answer:
The tension in the string is 16.24 N
Explanation:
Given;
mass of the sphere, m = 1.55 kg
initial velocity of the sphere, u = 2.81 m/s
final velocity of the sphere, v = 4.60 m/s
duration of change in the velocity, Δt = 2.64 s
The tension of the string is calculated as follows;

T = 1.55(0.678 + 9.8)
T = 1.55(10.478)
T = 16.24 N
Therefore, the tension in the string is 16.24 N
Answer:
2.1x10^6m/s
Explanation:
One electron has a charge of –1.602e-19 C
mass of electron is 9.1e-31 kg
mass of proton is 1.6726e−27 kg
mass ratio is 1.6726e−27 / 9.1e-31 = 1838
The force is constant, F
distance is constant, d
a = F/m
a increases by a factor 1838, as m decreases by that factor
a = a₀1838
v₀² = 2a₀d
v² = 2a₀d1838
v²/v₀² = 2a₀d1838 / 2a₀d = 1838
v² = 1838v₀² = 1838(45000)²
v = 45000√1838 = 2.1e6 m/s
The rectilinear motion is given as:
s = s0 + v0 t + (1/2) a t^2
We can see that the variables stand for:
s = final distance
s0 = initial distance
v0 = initial velocity
t = time
a = acceleration
<span>We can see that all these variable are always constant
EXCEPT acceleration. The rectilinear motion can only be applied if and only if
acceleration is CONSTANT.</span>
Answer
given,
at time t = 10 s moving from left to right speed of particle = 5 m/s
at t = 20 s moving from right to left speed of particle is = 8 m/s
a) acceleration


a = -1.3 m/s²
b) using equation of motion
v = u + at
5 = u - 1.3 × 10
u = 5 + 13
u = 18 m/s
c) v = u + at
0 = 18 - 1.3t

t = 13.85 s
To find the velocity of the bullet just before reaching the ground, we use the formula.
Vy = Vosen (30 °) + gt (1).
For that we need to know the time it takes for the bullet to reach the ground from the moment it is fired.
For that we use the formula:
Xy = Xo + Vosen (30 °) * t + 0.5gt ^ 2 (2)
where:
Vy = Component of the speed in the y direction (vertical)
Vo = initial velocity of the bullet at the exit of the cannon
g = acceleration of gravity
Xy = vertical component of the position.
Xo = initial position.
t = time.
To find the time it takes for the bullet to reach the ground, we make Xy = 0 and clear t.
then it would be:
0 = 10 + 80sen (30 °) * t +0.5 * (- 9.8) t ^ 2.
The solution to that equation is:
t = 8.4 seconds.
We substitute that time in equation (1) and clear Vy.
We have left:
Vy = 80 * sin (30 °) + 9.8 * (8.4)
Vy = 42.38 m / s