Answer:
The horizontal speed with which the slingshot hits the balloon is approximately 57.358 m/s
Explanation:
The given parameters of the slingshot motion are;
The initial velocity of the slingshot, v = 100 m/s
The angle (to the horizontal) at which the slingshot is fired makes, θ = 55°
The path of the slingshot which hits the stationary balloon at the top of its flight = Parabolic trajectory
The horizontal component of the velocity = vₓ = v·cos(θ) = Constant
vₓ = 100 × cos(55°) ≈ 57.358
The horizontal speed with which the slingshot hits the balloon = vₓ ≈ 57.358 m/s.
Explanation:
It is given that,
Length of the rod, l = 14 cm = 0.14 m
Charge on the rod, 
We need to find the magnitude and direction of the net electric field produced by the charged rod at a point 36.0 cm to the right of its center along the axis of the rod, z = 36 cm = 0.36 m
Electric field at the axis of the rod is given by :

Where
is the linear charge density of the rod,


E = -7493170.57 N/C
or

Negative sign shows that the electric field is acting in inwards direction. Hence, this is the required solution.
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Answer:
a) t = 19.6 s, b) fr = 1.274 10⁴ N
Explanation:
This is a Newton's second law problem
Y Axis
for the cabin
N₁-W₁ = 0
N₁ = W₁
for the trailer
N₂- W₂ = 0
N₂ = W₂
X axis
for the cabin plus trailer, where friction is only in the cabin
fr = (m₁ + m₂) a
the friction force equation is
fr = μ N
we substitute
μ N₁ = (m₁ + m₂) a
μ m₁ g = (m₁ + m₂) a
a = μ g 
let's calculate
a = 0.65 9.8
a = 1,274 m / s²
a) to find the stopping distance we can use kinematics
Let's slow down the sI system
v₀ = 90 km / h (1000 m / 1km) (1h / 3600s) = 25 m / s
v = v₀ - a t
when it is stopped its speed is zero
0 = v₀ - at
t = v₀ / a
t = 25 / 1.274
t = 19.6 s
b) the friction force is
fr = 0.65 2000 9.8
fr = 1.274 10⁴ N
This is the braking force and also the forces that couple the cars.
Answer:
A person climbs a set of stairs
Explanation:
Potential energy is said to be possessed by an object due to its position. As the height from the ground level increase, the potential energy increases. It is calculated by the below formula as :
P = mgh
Out of the given options, the option that illustrates an increase in potential energy is option (b) i.e. a person climbs a set of stairs. As he steps one stair, its position from ground increases. It means its potential energy increases.