[Resolvido]Projeto em Marven tem o erro: "java.lang.ClassNotFoundException", como posso resolver?

Estou com um app jsf 2 + hibernate + tomcat proj. maven configuro o pom e faço update.Só que quando start a aplicação ocorre o seguinte erro

java.lang.ClassNotFoundException: javax.faces.webapp.FacesServlet.

Como posso resolver?

<project xmlns="http://maven.apache.org/POM/4.0.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd">
  <modelVersion>4.0.0</modelVersion>
  <groupId>br.com.mmo</groupId>
  <artifactId>mau</artifactId>
  <version>0.0.1-SNAPSHOT</version>
  <name>mau</name>
  <dependencies>
     <dependency>  
        <groupId>org.primefaces</groupId>  
        <artifactId>primefaces</artifactId>  
        <version>5.3</version>  
    </dependency>
    <dependency>
        <groupId>org.primefaces.themes</groupId>
        <artifactId>all-themes</artifactId>
        <version>1.0.10</version>
    </dependency>
     <dependency>         
        <groupId>org.hibernate</groupId>         
        <artifactId>hibernate-annotations</artifactId>         
        <version>3.5.0-Final</version>     
     </dependency>     
     <dependency>         
         <groupId>org.hibernate</groupId>         
         <artifactId>hibernate-core</artifactId>         
         <version>3.5.0-Final</version>     
     </dependency>     
     <dependency>         
          <groupId>org.hibernate</groupId>         
          <artifactId>hibernate-entitymanager</artifactId>         
          <version>3.5.0-Final</version>     
     </dependency>   
     <dependency>
        <groupId>postgresql</groupId>
        <artifactId>postgresql</artifactId>
         <version>9.1-901.jdbc4</version>
     </dependency>    
      <dependency>
        <groupId>com.sun.faces</groupId>
        <artifactId>jsf-api</artifactId>
        <version>2.2.2</version>
    </dependency>
    <dependency>
        <groupId>com.sun.faces</groupId>
        <artifactId>jsf-impl</artifactId>
        <version>2.2.2</version>
    </dependency>
    <dependency>
        <groupId>javax.servlet</groupId>
        <artifactId>javax.servlet-api</artifactId>
        <version>3.0.1</version>
    </dependency>   
    <dependency>
       <groupId>org.primefaces.themes</groupId>
       <artifactId>glass-x</artifactId>
       <version>1.0.6</version>
    </dependency>
    <dependency> 
        <groupId>org.slf4j</groupId> 
        <artifactId>slf4j-log4j12</artifactId> 
        <version>1.5.2</version> 
    </dependency>      
    <dependency> 
      <groupId>javax.servlet</groupId> 
      <artifactId>jstl</artifactId> 
      <version>1.2</version> 
   </dependency> 
  </dependencies> 
  <repositories>
      <repository>
        <id>prime-repo</id>
        <name>PrimeFaces Maven Repository</name>
        <url>http://repository.primefaces.org</url>
        <layout>default</layout>
    </repository>
  </repositories>
</project>

Encontrei a solução no link :