How far does a cyclist travel if she's going 6 m/s in 10 seconds?

A vector has a magnitude of 46.0 m and points in a direction 20.0° below the positive x-axis. A second vector, , has a magnitude

irina1246 [14]

Answer with Step-by -step explanation:

We are given that

b. $\mid A\mid=46 m$

$\theta=20^{\circ}$ below the positive x-axis

Therefore, the angle made by vector A in counter clockwise direction when measure from positive x-axis= $x=360-20=340^{\circ}$

x-component of vector A= $A_x=\mid A\mid cosx=46cos 340=46\times 0.94=43.24$

y-Component of vector A= $A_y=\mid A\mid sinx=46sin340=46(-0.34)=-15.64$

Magnitude of vector B=86 m

The vector B makes angle with positive x- axis= $x'=42^{\circ}$

x-component of vector B= $B_x=86cos42=63.64$

y-Component of vector B= $B_y=86sin42=57.62$

Vector A= $A_xi+A_yj=43.24i-15.64j$

Vector B= $B_xi+B_yj=63.64i+57.62j$

Vector C=A+B

Substitute the values

$C=43.24i-15.64j+63.64i+57.62j$

$C=106.88i+41.98j$

c.Direction= $\theta=tan^{-1}(\frac{y}{x})=tan^{-1}(\frac{41.98}{106.88})=21.5^{\circ}$

The direction of the vector C=21.5 degree

6 0

3 years ago

The apparent weight of a student in alift is 564N . if the mass of the student is 60.3kg, what is the acceleration of the lift ?

Yuki888 [10]

Answer:

-.457 m/s^2

Explanation:

Actual weight = 60 .3 (9.81) = 591.54 N

Accel of lift changes this to 60.3 ( 9.81 - L) where L - accel of lift

60.3 ( 9.81 - L ) = 564

solve for L = .457 m/s^2 DOWNWARD

so L = - .457 m/s^2

4 0

2 years ago

When a hypothesis is tested many times and supported by data, it becomes a __________. control theory solution conclusion

Kitty [74]

I think it would then become a theory

5 0

3 years ago

A boat crossing a 153.0 m wide river is directed so that it will cross the river as quickly as possible. The boat has a speed of

irinina [24]

Answer:

201.76266192 m

Explanation:

Distance traveled in the horizontal direction = 153 m

In the vertical direction the distance traveled

$\dfrac{4.9\times 153}{5.7}=131.526315789\ m$

Total distance from pythagoras theorem

$d=\sqrt{153^2+(\dfrac{4.9\times 153}{5.7})^2}\\\Rightarrow d=201.76266192\ m$

The total distance the boat will travel to reach the opposite shore is 201.76266192 m

6 0

3 years ago

What characteristics are shared by both heating and cooling curves? choose 4

Luda [366]

The characteristics shared by both heating and cooling curves is that phases changes when the temperature stays the same.

<h3>What is heating and cooling?</h3>

Heating is the process by which the temperature of a place or substances or object is increased.

Cooling Is the process of lowering the temperature of a substance or object by using conditioners or by freezing .

Therefore, The characteristics shared by both heating and cooling curves is that phases changes when the temperature stays the same.

Learn more about heating and cooling below.

brainly.com/question/9938370

#SPJ1

6 0

2 years ago