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zaharov [31]
4 years ago
10

A block lies on a frictionless floor. a force of 5 n pulls toward the east while a force of 4 n pulls toward the north. what is

the magnitude of the net force on the block?

Physics
1 answer:
sveticcg [70]4 years ago
3 0

Given below the arrangement of loading on the larger boat by two tug boats.

F₁ = 5 N

F₂ = 4 N

Angle between them θ = 90⁰

Resultant between two vectors, F=\sqrt{F_1^2+F_2^2+2F_1F_2cos\theta }

Substituting

   F = \sqrt{5^2+4^2+2*5*4*cos 90} \\ \\ = 6.403 N

So magnitude of the net force on the block = 6.403 N

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A slingshot is fired with an initial velocity of 100 m/s at an angle of 55° follows a parabolic trajectory and hits a stationary
erma4kov [3.2K]

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.

4 0
3 years ago
A rod 14.0 cm long is uniformly charged and has a total charge of -22.0 μC. Determine the magnitude and direction of the net ele
lesya692 [45]

Explanation:

It is given that,

Length of the rod, l = 14 cm = 0.14 m

Charge on the rod, q=-22\ \mu C=-22\times 10^{-6}\ C

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 :

E=\dfrac{\lambda}{2\pi \epsilon_o z}

Where

\lambda is the linear charge density of the rod,

\lambda=\dfrac{q}{l}=\dfrac{-22\times 10^{-6}\ C}{0.14\ m}=-0.00015\ C/m

E=\dfrac{-0.00015}{2\pi\times 8.85\times 10^{-12}\times 0.36}

E = -7493170.57 N/C

or

E=-7.49\times 10^6\ N/C

Negative sign shows that the electric field is acting in inwards direction. Hence, this is the required solution.

4 0
3 years ago
A particle undergoes a displacement δr⃗ of magnitude 54 m in a direction 42 ∘ below the x axis.
Elina [12.6K]
Please elaborate more on your question so I can help you
8 0
3 years ago
A trailer truck with a 2000 [kg] cab and a 8000 [kg] trailer is traveling on a level road at 90 [km/hr].The brakes on the traile
NeX [460]

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    \frac{m_1}{m_1 + m_2}

         

let's calculate

         a = 0.65 9.8    \frac{2000}{2000+8000}

         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.

3 0
3 years ago
Which of the following illustrates an increase in potential energy? Group of answer choices a wind-up toy winding down a person
horrorfan [7]

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.

7 0
3 years ago
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