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
kirza4 [7]
3 years ago
10

In an attempt to impress its friends, an acrobatic beetle runs and jumps off the bottom step of a flight of stairs. The step is

20 cm tall, and the beetle jumps with an initial velocity of 1.5m/s at an angle of 20∘ above the horizontal. How far from the base of the step does the beetle land on the ground?
Physics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

0.3677181864 m

Explanation:

u = Velocity = 1.5 m/s

\theta = Angle = 20°

y = -20 cm

Velocity components

u_x=ucos\theta\\\Rightarrow u_x=1.5cos20\\\Rightarrow u_x=1.40953\ m/s

u_y=usin\theta\\\Rightarrow u_y=1.5sin20\\\Rightarrow u_y=0.51303\ m/s

Acceleration components

a_x=0

a_y=-9.81\ m/s^2

y=u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow -0.2=0.51303\times t+\dfrac{1}{2}\times -9.81t^2\\\Rightarrow 4.905t^2-0.51303t-0.2=0

t=\frac{-\left(-0.51303\right)+\sqrt{\left(-0.51303\right)^2-4\cdot \:4.905\left(-0.2\right)}}{2\cdot \:4.905}, \frac{-\left(-0.51303\right)-\sqrt{\left(-0.51303\right)^2-4\cdot \:4.905\left(-0.2\right)}}{2\cdot \:4.905}\\\Rightarrow t=0.26088, -0.15629

Time taken is 0.26088 seconds

x=u_xt+\dfrac{1}{2}a_xt^2\\\Rightarrow x=1.40953\times 0.26088\\\Rightarrow x=0.3677181864\ m

The distance the beetle travels on the ground is 0.3677181864 m

You might be interested in
What type of wave is the highest on the electromagnetic spectrum?
san4es73 [151]
Gamma waves are on the far right
8 0
3 years ago
The acceleration due to gravity on the surface of Venus is 8.83 m/s2. An object with a mass of 5.23 kg has what weight on Venus?
Marat540 [252]
Weight = m times g = 5.23 times 8.83 = 46.18 N
6 0
3 years ago
Hi!!!! I WILL MARK YOU BRAINLIEST! PLEASE LEAVE AN ANSWER SOON!!!!
Crazy boy [7]

Answer:

HEAT GENERATED FROM THE INTERIOR OF THE  EARTH IS CALLED GEOTHERMAL ENERGY.

Explanation:

THE TEMPERATURE IN THE INTERIOR OF THE EARTH RISES STEADILY AS WE GO DEEPER.SOMETIMES THIS HEAT ENERGY MAY SURFACE ITSELF IN THE FORM OF HOT SPRINGS ..THIS HEAT ENERGY CAN BE USED TO GENERATE POWER.

5 0
3 years ago
Even when the head is held erect, as in the figure below, its center of mass is not directly over the principal point of support
alexandr1967 [171]

We are asked to determine the force required by the neck muscle in order to keep the head in equilibrium. To do that we will add the torques produced by the muscle force and the weight of the head. We will use torque in the clockwise direction to be negative, therefore, we have:

\Sigma T=r_{M\perp}(F_M)-r_{W\perp}(W)

Since we want to determine the forces when the system is at equilibrium this means that the total sum of torque is zero:

r_{M\perp}(F_M)-r_{W\perp}(W)=0

Now, we solve for the force of the muscle. First, we add the torque of the weight to both sides:

r_{M\perp}(F_M)=r_{W\perp}(W)

Now, we divide by the distance of the muscle:

(F_M)=\frac{r_{W\perp}(W)}{r_{M\perp}}

Now, we substitute the values:

F_M=\frac{(2.4cm)(50N)}{5.1cm}

Now, we solve the operations:

F_M=23.53N

Therefore, the force exerted by the muscles is 23.53 Newtons.

Part B. To determine the force on the pivot we will add the forces we add the vertical forces:

\Sigma F_v=F_j-F_M-W

Since there is no vertical movement the sum of vertical forces is zero:

F_j-F_M-W=0

Now, we add the force of the muscle and the weight to both sides to solve for the force on the pivot:

F_j=F_M+W

Now, we plug in the values:

F_j=23.53N+50N

Solving the operations:

F_j=73.53N

Therefore, the force is 73.53 Newtons.

8 0
1 year ago
HELPPP ME PLEASE!!!!
andriy [413]

Answer:

c

Explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the universe's estimated age
    14·1 answer
  • russell westbrook has a mass of 84.8kg.When jumps to dunk on z 3.04 meter goal,what will be his G.P.E at the apex of his jump?
    6·1 answer
  • The volume of a gas is directly related to the temperature of the gas. at 30 degrees celsius a certain gas has a volume of 125 c
    5·2 answers
  • Please need help on this
    15·1 answer
  • What is latent heat? Group of answer choices Energy released when water evaporates. Energy hidden in water vapor in the air. Ene
    14·1 answer
  • Which change will cause the gravitational force between a baseball and a soccer ball to increase? Select three options.
    11·1 answer
  • The greater the mass of an object?<br> I’ll give brainliest!*
    13·1 answer
  • In order to increase his gravitational potential energy by an amount equal to his kinetic energy at full speed, how high would s
    7·1 answer
  • Help me pls <br><br> really struggling with dat
    6·1 answer
  • Create a ray diagram for eyeglasses that contain a diverging lens. Assume you are looking at a 2 cm tall object that is 4 cm fro
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!