1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kari74 [83]
2 years ago
7

A van of mass 5,000kg travelling at a velocity of 10 m/s collides with a stationary car. The vehicles move together after the im

pact at a velocity of 6 m/s. Calculate the mass of the car.
Physics
1 answer:
Lunna [17]2 years ago
5 0

Hi there!

We can use the conservation of momentum for an INELASTIC collision:

m_1v_1 + m_2v_2 = v_f(m_1 + m_2)

Let:

m1 = mass of van (5000 kg)

m2 = mass of car (? kg)

v1 = initial velocity of van (10 m/s)

v2 = initial velocity of car (0 m/s)

vf = final velocity of BOTH objects (6 m/s)

We can rearrange and plug in values to solve for m2:

m_1v_1 + m_2(0) = v_f(m_1 + m_2)\\\\m_1v_1 = v_f(m_1 + m_2)\\\\(5000)(10) = 6(5000 + m_2)

Solve:

50000 = 30000 + 6m_2\\\\20000 = 6m_2\\\\m_2 = 20000/6 = \boxed{3333.33 kg}

You might be interested in
An unstretched spring has a length of 10. centimeters. When the spring is stretched by a force of 16 newtons, its length is incr
Fed [463]

Answer:

The spring constant of this spring  is 200 N/m.

Explanation:

Given:

Original unstretched length of the spring (x₀) = 10 cm =0.10 m [1 cm =0.01 m]

Stretched length of the spring (x₁) = 18 cm = 0.18 cm

Force acting on the spring (F) = 16 N

Spring constant of the spring (k) = ?

First let us find the change in length of the spring or the elongation caused in the spring due to the applied force.

So, Change in length = Final length - Initial length

\Delta x = x_1-x_0=0.18-0.10=0.08\ m

Now, restoring force acting on the spring is directly related to its elongation or compression as:

F=k\Delta x

Rewriting in terms of 'k', we get:

k=\dfrac{F}{\Delta x}

Now, plug in the given values and solve for 'k'. This gives,

k=\frac{16\ N}{0.08\ m}\\\\k=200\ N/m

Therefore, the spring constant of this spring  is 200 N/m.

5 0
2 years ago
A single slit of width 0.50 mm is illuminated with light of wavelength 500 nm, and a screen is placed 120 cm in front of the sli
Vaselesa [24]

Answer:

a) 2.4 mm

b) 1.2 mm

c) 1.2 mm

Explanation:

To find the widths of the maxima you use the diffraction condition for destructive interference, given by the following formula:

m\lambda=asin\theta

a: width of the slit

λ: wavelength

m: order of the minimum

for little angles you have:

y=\frac{m\lambda D}{a}

y: height of the mth minimum

a) the width of the central maximum is 2*y for m=1:

w=2y_1=2\frac{1(500*10^{-9}m)(1.2m)}{0.50*10^{-3}m}=2.4*10^{-3}m=2.4mm

b) the width of first maximum is y2-y1:

w=y_2-y_1=\frac{(500*10^{-9}m)(1.2m)}{0.50*10^{-3}m}[2-1]=1.2mm

c) and for the second maximum:

w=y_3-y_2=\frac{(500*10^{-9}m)(1.2m)}{0.50*10^{-3}m}[3-2]=1.2mm

4 0
2 years ago
If we decrease the time it takes for a car to travel over the same distance, this will
Ilya [14]
C) increase the speed
7 0
3 years ago
Read 2 more answers
In a shipping yard, a crane operator attaches a cable to a 1240-kg shipping container and then uses the crane to lift the contai
Firdavs [7]

Answer:

Explanation:

Given

mass of ship =1240 kg

height=37 m

(a)Work done by Tension in cable+work done by gravity =0

Work done by gravity =change in potential energy of mass=-1240\times 9.8\times 37=-449.624 kJ

Thus work done by tension=449.624 kJ

(b)work done by force of gravity=-mg\times h=-1240\times 9.8\times 37=-449.624 kJ

4 0
3 years ago
Read 2 more answers
What is gravitational potential energy?
Kay [80]

Answer:

D). energy resulting from the attraction between two masses.

Explanation:

4 0
2 years ago
Other questions:
  • Which line on the graph represents the radioactive decay of an isotope?
    14·1 answer
  • Someone please help me!!!!!
    7·1 answer
  • What keeps the electrons from leaving an atom in the rutherford model of the atom?
    8·1 answer
  • Consult Multiple Concept Example 10 in preparation for this problem. Traveling at a speed of 18.2 m/s, the driver of an automobi
    15·1 answer
  • Two identical soccer balls are rolled toward each other. What will be true after they collide head-on? (2 points)
    8·1 answer
  • The graph below shows the distance traveled by the skateboarder on each of the different road conditions. Using the graph, deter
    12·1 answer
  • 100 point question!! A driver begins to brake when her car is traveling at 15.0 m/s, and the car comes to a stop 4.0 s later. Ho
    9·1 answer
  • The increase in resistant strains of insects to chemicals is a result of:
    6·1 answer
  • What is the average velocity if the initial velocity of an object is 19 mph and the final velocity of 75 mph ?
    14·1 answer
  • それで、私はヘビと一緒に座っていました、そしてこれが起こりました、私のヘビは本当に奇妙に行動していたので私は本当に混乱したようでした、私のヘビは本当に奇妙に行動していたので、私はオーロラのようでした、やめてください。それから彼女は私をすべて奇妙に見たので私
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!